55835568288 has 144 divisors (see below), whose sum is σ = 161597270016. Its totient is φ = 18284797440.

The previous prime is 55835568277. The next prime is 55835568293. The reversal of 55835568288 is 88286553855.

55835568288 is a `hidden beast` number, since 5 + 58 + 3 + 556 + 8 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55835568288² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3759918 + ... + 3774738.

It is an arithmetic number, because the mean of its divisors is an integer number (1122203264).

Almost surely, 2^55835568288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55835568288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80798635008).

55835568288 is an abundant number, since it is smaller than the sum of its proper divisors (105761701728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55835568288 is a wasteful number, since it uses less digits than its factorization.

55835568288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15067 (or 15056 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 63.

The spelling of 55835568288 in words is "fifty-five billion, eight hundred thirty-five million, five hundred sixty-eight thousand, two hundred eighty-eight".